Non-real Eigenvalues for PT-Symmetric Double Wells

Amina Benbernou; Naima Boussekkine; Nawal Mecherout; Thierry Ramond; Johannes Sjoestrand

doi:10.1007/s11005-016-0852-8

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arXiv · 1506.01898

Non-real Eigenvalues for PT-Symmetric Double Wells

Amina Benbernou·Naima Boussekkine·Nawal Mecherout·Thierry Ramond·Johannes Sjoestrand

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Abstract

We study small, PT-symmetric perturbations of self-adjoint double-well Schrödinger operators in dimension $n\geq 1$. We prove that the eigenvalues stay real for a very small perturbation, then bifurcate to the complex plane as the perturbation gets stronger.

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Amina Benbernou, Naima Boussekkine, Nawal Mecherout, Thierry Ramond, Johannes Sjoestrand. 2015-06-05. Non-real Eigenvalues for PT-Symmetric Double Wells. https://doi.org/10.1007/s11005-016-0852-8

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